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Comment on the applicability of Urbach's rule to molecular crystals

✍ Scribed by M.G. Sceats; Stuart A. Rice

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
611 KB
Volume
25
Category
Article
ISSN
0009-2614

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✦ Synopsis

The extent to which the absorption protile below the fust exciton band can be predicted without recourse to resonance transfer and strong exciton-phonon coupling is evaluated for a crystal transition derived from a moderately intense free molecule transition. It-is argued, on the basis of a simple model, that Urbach rule behavior can arise from the same class of weak eaciton-phonon interactions that determine hot band absorption shapes.

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We present a formal approach, using integral equations of the LippmannSchwinger type, to the scattering of particles by semiinfinite periodic potentials. The two possible physical situations, scattering of free plane waves and scattering of Bloch waves, are treated with two1 different integral equat